Analytical study of attractors to a regularized 3D Boussinesq system

被引：0
作者：
Azem, Leila [1 ]
Sboui, Abir [2 ]
Selmi, Ridha [3 ,4 ]
Abohelal, Afrah Fahed [5 ]
机构：
[1] Northern Border Univ, Coll Sci & Art, Dept Math, Turaif, Saudi Arabia
[2] Northeren Border Univ, Coll Sci, Dept Math, POB 1321, Ar Ar 73222, Saudi Arabia
[3] ISSATM, Dept Math, Sfax, Tunisia
[4] Univ Gabes, Fac Sci, Dept Math, Gabes, Tunisia
[5] Univ Tunis El Manar, Fac Sci Tunis, Lab PDEs & Applicat LR03ES04, Tunis 1068, Tunisia
来源：
BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN | 2024年 / 31卷 / 02期
关键词：
Three-dimensional regularized periodic Boussinesq system; global compact connected attractor; asymptotic behavior; global existence; global uniqueness; depen- dence on initial data; GLOBAL ATTRACTORS; BENARD-PROBLEM; EQUATIONS; EXISTENCE; MODEL;
D O I：
10.36045/j.bbms.230719
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The Leray-alpha model to regularize the forced three-dimensional periodic Boussinesq system is shown to have a global in time unique solution and a universal attractor which is connected. Energy method, compactness argument and absorbing balls are used.
引用
收藏
页码：162 / 173
页数：12
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